384416208 has 240 divisors, whose sum is σ = 1263936960. Its totient is φ = 107827200.

The previous prime is 384416191. The next prime is 384416209. The reversal of 384416208 is 802614483.

384416208 is a `hidden beast` number, since 3 + 8 + 441 + 6 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384416209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1594968 + ... + 1595208.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2^384416208 is an apocalyptic number.

384416208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384416208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631968480).

384416208 is an abundant number, since it is smaller than the sum of its proper divisors (879520752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384416208 is a wasteful number, since it uses less digits than its factorization.

384416208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384416208 is about 19606.5348289799. The cubic root of 384416208 is about 727.1107465242.

The spelling of 384416208 in words is "three hundred eighty-four million, four hundred sixteen thousand, two hundred eight".